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Finding the Fourth Proportional to 668.33, 922.50 and 458.42

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Solution

The fourth proportional to 668.33, 922.50 and 458.42 is: 632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.33 : 922.50 = 458.42 : x
  2. Step 2: Convert to fraction form
    668.33/922.50 = 458.42/x
  3. Step 3: Cross multiply
    668.33x = 922.50 × 458.42
  4. Step 4: Simplify right side
    668.33x = 422,887.84
  5. Step 5: Solve for x
    x = 422,887.84/668.33
  6. Step 6: Final answer
    x = 632.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.